X=16
y= -12
X+2( -x+4)=-8
X-2x+8=-8
-1x=-16
X=16
Y=-16+4
Y=-12
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Answer:
5x + (x+12) = 90
x = 13
m∡1 = 5(13) = 65°
m∡2 = 13 + 12 = 25°
Step-by-step explanation:
6x + 12 = 90
6x = 78
x = 13
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0